(xy+yz)(x+y-3)=0

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Solution for (xy+yz)(x+y-3)=0 equation: 


Simplifying
(xy + yz)(x + y + -3) = 0

Reorder the terms:
(xy + yz)(-3 + x + y) = 0

Multiply (xy + yz) * (-3 + x + y)
(xy(-3 + x + y) + yz(-3 + x + y)) = 0
((-3 * xy + x * xy + y * xy) + yz(-3 + x + y)) = 0

Reorder the terms:
((-3xy + xy2 + x2y) + yz(-3 + x + y)) = 0
((-3xy + xy2 + x2y) + yz(-3 + x + y)) = 0
(-3xy + xy2 + x2y + (-3 * yz + x * yz + y * yz)) = 0

Reorder the terms:
(-3xy + xy2 + x2y + (xyz + -3yz + y2z)) = 0
(-3xy + xy2 + x2y + (xyz + -3yz + y2z)) = 0

Reorder the terms:
(-3xy + xyz + xy2 + x2y + -3yz + y2z) = 0
(-3xy + xyz + xy2 + x2y + -3yz + y2z) = 0

Solving
-3xy + xyz + xy2 + x2y + -3yz + y2z = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-3x + xz + xy + x2 + -3z + yz) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-3x + xz + xy + x2 + -3z + yz)' equal to zero and attempt to solve:

Simplifying
-3x + xz + xy + x2 + -3z + yz = 0

Reorder the terms:
-3x + xy + xz + x2 + yz + -3z = 0

Solving
-3x + xy + xz + x2 + yz + -3z = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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